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Finding the Fourth Proportional to 10,586.88, 15,880.46 and 4,011.30

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Solution

The fourth proportional to 10,586.88, 15,880.46 and 4,011.30 is: 6,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.88 : 15,880.46 = 4,011.30 : x
  2. Step 2: Convert to fraction form
    10,586.88/15,880.46 = 4,011.30/x
  3. Step 3: Cross multiply
    10,586.88x = 15,880.46 × 4,011.30
  4. Step 4: Simplify right side
    10,586.88x = 63,701,269.14
  5. Step 5: Solve for x
    x = 63,701,269.14/10,586.88
  6. Step 6: Final answer
    x = 6,017.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.